The jamming beam could prevent using Primary weapons. This adds a little importance to having a secondary weapon. Prevent acquiring new Target Locks also makes sense, though such a mechanic could be cumbersome for game-play.
RogueMorgan
Outriders, IG-88, Scyks and Punishers all laugh at you. Too specific, I suspect.
The idea of it being 'take two stress tokens' is an interesting one, though. Brings stress control to ships other than just the Y-wing. This might in itself be a problem, though!